\(L^p\)-spectrum of the Dirac operator on products with hyperbolic spaces

DOI10.1007/s00526-016-1046-zzbMath1361.58014arXiv1405.2830OpenAlexW1577354975MaRDI QIDQ343010

Bernd Ammann, Nadine Große

Publication date: 18 November 2016

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.2830

zbMATH Keywords

hyperbolic spacespinors\(L^p\) spectrumDirac operator on complete manifolds

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Green's functions for ordinary differential equations (34B27)

Related Items (8)

Getzler rescaling via adiabatic deformation and a renormalized index formula ⋮ Sobolev spaces and \(\nabla\)-differential operators on manifolds. I: Basic properties and weighted spaces ⋮ Relations between threshold constants for Yamabe type bordism invariants ⋮ A note on the spectrum of magnetic Dirac operators ⋮ Positive mass theorem for some asymptotically hyperbolic manifolds ⋮ Fredholm Conditions on Non-compact Manifolds: Theory and Examples ⋮ Hadamard states for quantized Dirac fields on Lorentzian manifolds of bounded geometry ⋮ On the \(L^p\) spectrum of the Dirac operator

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